Question
The radius of an object A is twice the radius of object B. If both have the same surface and temperature then how many times will the rate of cooling of A be the rate of cooling of B?

Answer

The rate of cooling of A will be 4 times that of B. Since the rate of cool i.e. the rate of energy emission is directly proportional to the area of the object while the area is directly proportional to the square of the radius. Therefore, if the area of A is double that of B, the rate of occurrence of A will be 4 times that of B.

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